Search a number
-
+
223021212233 is a prime number
BaseRepresentation
bin1100111110110100011…
…0011010001001001001
3210022122201202102210112
43033231012122021021
512123221412242413
6250242102324105
722053450011561
oct3175506321111
9708581672715
10223021212233
1186645729736
1237281429635
13180528c7451
14ab19731da1
155c045742a8
hex33ed19a249

223021212233 has 2 divisors, whose sum is σ = 223021212234. Its totient is φ = 223021212232.

The previous prime is 223021212163. The next prime is 223021212251. The reversal of 223021212233 is 332212120322.

223021212233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124244265289 + 98776946944 = 352483^2 + 314288^2 .

It is a cyclic number.

It is not a de Polignac number, because 223021212233 - 28 = 223021211977 is a prime.

It is a super-2 number, since 2×2230212122332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223021212199 and 223021212208.

It is not a weakly prime, because it can be changed into another prime (223021232233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111510606116 + 111510606117.

It is an arithmetic number, because the mean of its divisors is an integer number (111510606117).

Almost surely, 2223021212233 is an apocalyptic number.

It is an amenable number.

223021212233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223021212233 is an equidigital number, since it uses as much as digits as its factorization.

223021212233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223021212233 its reverse (332212120322), we get a palindrome (555233332555).

The spelling of 223021212233 in words is "two hundred twenty-three billion, twenty-one million, two hundred twelve thousand, two hundred thirty-three".